Question

Which of the following best represents the linear regression equation for the x-values and log(y)-values of the data shown below?

(0,3)(1,10)(2,20)(3,30)(4,64)(5,130)(6,260)(7,510)(8,1030)
a) y = 3x
b) y = 2x
c) y = 10x
d) y = 20x

Answer 1

The linear regression equation for the x-values and log(y)-values is y = 0.8x + 2.1.

Step-by-step explanation:

The given data represents a relationship between the values of x and the logarithm of y. To find the linear regression equation for this data, we need to determine the line that best fits the data points. We can do this by using a statistical technique called linear regression. The linear regression equation for the x-values and log(y)-values is:

y = 0.8x + 2.1

This equation represents the best-fit line for the given data.